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[null,"1.","Record Nr.",null,"UNINA9911019710803321"]
[null,null,"Autore",null,"Murio Diego A. <1944->"]
[null,null,"Titolo",null,"The mollification method and the numerical solution of ill-posed problems / / Diego A. Murio"]
[null,null,"Pubbl/distr/stampa",null,"New York, : Wiley, c1993"]
[null,null,"ISBN",null,"1-283-10099-1"]
[{"$nulls":4},"9786613100993"]
[{"$nulls":4},"1-118-03146-6"]
[{"$nulls":4},"1-118-03321-3"]
[null,null,"Descrizione fisica",null,"1 online resource (272 p.)"]
[null,null,"Disciplina",null,"515.353"]
[{"$nulls":4},"515/.353"]
[null,null,"Soggetti",null,"Numerical analysis - Improperly posed problems"]
[{"$nulls":4},"Inverse problems (Differential equations) - Numerical solutions"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"A Wiley interscience publication.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 232-248) and index."]
[null,null,"Nota di contenuto",null,"The Mollification Method and the Numerical Solution of Ill-Posed Problems; Contents; Preface; Acknowledgments; 1. Numerical Differentiation; 1.1. Description of the Problem; 1.2. Stabilized Problem; 1.3. Differentiation as an Inverse Problem; 1.4. Parameter Selection; 1.5. Numerical Procedure; 1.6. Numerical Results; 1.7. Exercises; 1.8. References and Comments; 2. Abel's Integral Equation; 2.1. Description of the Problem; 2.2. Stabilized Problems; 2.3. Numerical Implementations; 2.4. Numerical Results and Comparisons; 2.5. Exercises; 2.6. References and Comments"]
[{"$nulls":4},"3. Inverse Heat Conduction Problem3.1. One-Dimensional IHCP in a Semi-infinite Body; 3.2. Stabilized Problems; 3.3. One-Dimensional IHCP with Finite Slab Symmetry; 3.4. Finite-Difference Approximations; 3.5. Integral Equation Approximations; 3.6. Numerical Results; 3.7. Exercises; 3.8. References and Comments; 4. Two-Dimensional Inverse Heat Conduction Problem; 4.1. Two-Dimensional IHCP in a Semi-infinite Slab; 4.2. Stabilized Problem; 4.3. Numerical Procedure and Error Analysis; 4.4. Numerical Results; 4.5. Exercises; 4.6. References and Comments"]
[{"$nulls":4},"5. Applications of the Space Marching Solution of the IHCP5.1. Identification of Boundary Source Functions; 5.2. Numerical Procedure; 5.3. IHCP with Phase Changes; 5.4. Description of the Problems; 5.5. "]
[{"$nulls":4},"Numerical Procedure; 5.6. Identification of the Initial Temperature Distribution; 5.7. Semi-infinite Body; 5.8. Finite Slab Symmetry; 5.9. Stabilized Problems; 5.10. Numerical Results; 5.11. Exercises; 5.12. References and Comments; 6. Applications of Stable Numerical Differentiation Procedures; 6.1. Numerical Identification of Forcing Terms; 6.2. Stabilized Problem; 6.3. Numerical Results"]
[{"$nulls":4},"6.4. Identification of the Transmissivity Coefficient in the One-Dimensional Elliptic Equation6.5. Stability Analysis; 6.6. Numerical Method; 6.7. Numerical Results; 6.8. Identification of the Transmissivity Coefficient in the One-Dimensional Parabolic Equation; 6.9. Stability Analysis; 6.10. Numerical Method; 6.11. Numerical Results; 6.12. Exercises; 6.13. References and Comments; Appendix A. Mathematical Background; A.1. Lp Spaces; A.2. The Hilbert Space L2(Ω); A.3. Approximation of Functions in L2(Ω); A.4. Mollifiers; A.5. Fourier Transform; A.6. Discrete Functions"]
[{"$nulls":4},"A.7. References and CommentsAppendix B. References to the Literature on the IHCP; Index"]
[null,null,null,"Sommario/riassunto","Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations."]